Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
1 answer:
For the given triangle, the value of x is 2,880.2 m.
Step-by-step explanation:
Step 1:
The sum of the angles on a straight line is 90°. It is given that the sum of the upper sides angle and 10° is 90°.
So the triangle has an angle of 80° on the top side.
Step 2:
For the top side, the hypotenuse measures x m and the adjacent side measures 500 m.
To determine the value of x, we determine the cos of the given angle.
So rounding this off, we get the value of x is 2,880.2 m.
You might be interested in
Answer:
The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.
Step-by-step explanation:
Given:
A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.
The tax of the first city was 6% and the tax of the second city was 10%.
Total hotel tax paid for two cities with $670.
Now, to find the hotel charge in each city before tax.
Let the hotel charge in first city before tax be
And the hotel charge in second city before tax be
<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>
<em>Thus</em>,
........(1)
<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>
6% of + 10% of
= $670.
Substituting the value of from equation (1) we get:
<em>Adding both sides by 150 we get:</em>
<em>Dividing both sides by 0.16 we get:</em>
<em>The hotel charge in first city before tax = $5125.</em>
Now, substituting the value of in equation (1) we get:
<em>The hotel charge in second city before tax = $3625.</em>
Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.